Search a number
-
+
66305916 = 223217108343
BaseRepresentation
bin1111110011101…
…1111101111100
311121202200121200
43330323331330
5113433242131
610325055500
71433406465
oct374737574
9147680550
1066305916
1134478686
121a257590
1310977291
148b3dd6c
155c4b2e6
hex3f3bf7c

66305916 has 36 divisors (see below), whose sum is σ = 177467472. Its totient is φ = 20801664.

The previous prime is 66305909. The next prime is 66305923. The reversal of 66305916 is 61950366.

66305916 is a `hidden beast` number, since 6 + 63 + 0 + 591 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (66305909) and next prime (66305923).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53560 + ... + 54783.

It is an arithmetic number, because the mean of its divisors is an integer number (4929652).

Almost surely, 266305916 is an apocalyptic number.

It is an amenable number.

66305916 is an abundant number, since it is smaller than the sum of its proper divisors (111161556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66305916 is a wasteful number, since it uses less digits than its factorization.

66305916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108370 (or 108365 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 66305916 is about 8142.8444661555. The cubic root of 66305916 is about 404.7474236761.

The spelling of 66305916 in words is "sixty-six million, three hundred five thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 108343 216686 325029 433372 650058 975087 1300116 1841831 1950174 3683662 3900348 5525493 7367324 11050986 16576479 22101972 33152958 66305916